Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13552t |
Isogeny class |
Conductor |
13552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3911153168384 = -1 · 212 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 11- 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3872,21296] |
[a1,a2,a3,a4,a6] |
Generators |
[3531:44891:27] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
7.6208735809665 |
L(r)(E,1)/r! |
Ω |
0.48238519034467 |
Real period |
R |
3.9495789534507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
847b1 54208cl1 121968dw1 94864di1 |
Quadratic twists by: -4 8 -3 -7 |